{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QMJ4UJZNPG2JLO2325GXDNDG6W","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"95891f9f39c8b67021880a1f63533675a741725265d20767d65b43a088d2aef3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-19T15:29:17Z","title_canon_sha256":"44f32aa53031feaa5b944cb2902913cc067c4a9fde930d3c5324e7798de245ce"},"schema_version":"1.0","source":{"id":"1706.06014","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.06014","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"arxiv_version","alias_value":"1706.06014v2","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.06014","created_at":"2026-05-18T00:08:11Z"},{"alias_kind":"pith_short_12","alias_value":"QMJ4UJZNPG2J","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QMJ4UJZNPG2JLO23","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QMJ4UJZN","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:9a9a74d6a89036abf1476659c42f46b8f2b357e34880888263390cdd511ab8e8","target":"graph","created_at":"2026-05-18T00:08:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The main idea of this note is to describe the integration procedure for poly-Poisson structures, that is, to find a poly-symplectic groupoid integrating a poly-Poisson structure, in terms of topological field theories, namely via the path-space construction. This will be given in terms of the poly-Poisson sigma model $(PPSM)$ and we prove that every poly-Poisson structure has a natural integration via relational poly-symplectic groupoids, extending the results in [8] and [26]. We provide familiar examples (trivial, linear, constant and symplectic) within this formulation and we give some appli","authors_text":"Ivan Contreras, Nicol\\'as Mart\\'inez Alba","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-19T15:29:17Z","title":"Poly-Poisson Sigma models and their relational poly-symplectic groupoids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.06014","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:18fdbdefea943cc4191d21d1e5144ae11ac9ff922967458fc3b88b14adb4f02f","target":"record","created_at":"2026-05-18T00:08:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"95891f9f39c8b67021880a1f63533675a741725265d20767d65b43a088d2aef3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-06-19T15:29:17Z","title_canon_sha256":"44f32aa53031feaa5b944cb2902913cc067c4a9fde930d3c5324e7798de245ce"},"schema_version":"1.0","source":{"id":"1706.06014","kind":"arxiv","version":2}},"canonical_sha256":"8313ca272d79b495bb5bd74d71b466f58384518ba295b5e10695814e6752a0bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8313ca272d79b495bb5bd74d71b466f58384518ba295b5e10695814e6752a0bb","first_computed_at":"2026-05-18T00:08:11.307665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:11.307665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mLO6Kw0ddQmfSvFONgRRdBIJxwg5BBQ6/HAslr0LHRepQZBAlUU3YnN+DTBcjwNOEnx5DTXWpbfBSHZVlOM+Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:11.308122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.06014","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18fdbdefea943cc4191d21d1e5144ae11ac9ff922967458fc3b88b14adb4f02f","sha256:9a9a74d6a89036abf1476659c42f46b8f2b357e34880888263390cdd511ab8e8"],"state_sha256":"dabc99efd5cc91f0f92b62370275722ffbaaa2a4ee77419f86ecc4bdddd8aa74"}